Answer:
11th term = 354294
Explanation:
The formula for the nth term of a geometric sequence is given by:
, where
- a1 is the first term (i.e., 6 in this case),
- r is the common ratio,
- and n is the term position (e.g., 1st, 11th, etc.)
Finding the common ratio:
- We can find the common ratio by dividing two consecutive terms.
Thus, we can find r by dividing -18 by 6:

Thus, the common ratio is -3.
Finding the 11th term:
Now we can find the 11th term by substituting 6 for a1, -3 for r, and 11 for n in the formula for the nth term of a geometric sequence:

Therefore, the 11th term of the geometric sequence is 354294.